Find the equation of the tangent to the curve at the point where x = 1. f(x) = √x 2√x+1

Q: Find a vector-valued function, using the given parameter, to represent the intersection of the…

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Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 + 6,    (3, 1)

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Q: -4 -3 -2 -1 0 3 4 1 2 Write an interval to describe the set of values shown above.

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Q: Q2A)Matrix A = 42find Eigen values of 4². dy -(x²+y) B)Solve differential equation x+siny

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Q: The graph of the function f(32x) can be obtained from the graph of y = f(x) by one of the following…

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Q: For the next three exercises, use power series operations to determine the Maclaurin series for the…

A: Given

Q: For the function f(x) = (5x² − 2)4 determine the second derivative in factored form.

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Q: Which of the following interval is f(x) = O (2, +∞0) O [2, +∞0) 0 (-∞0, +∞0) ○ (0, +∞) 1 Vx…

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Q: Consider the graph of y = f(x) shown below in blue. Find the open interval(s) where f'(x) is…

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Q: Draw a graph to match the description given. f(x) has a positive derivative over (-∞, -1) and…

A: Here, given that the function f(x) has a positive derivative over -∞,-1 & (-1,7) and a negative…

Q: 1. Find the length s of the circular arc. (Assume r = 9 and ? = 114°.) s = _____ (not 33.74,…

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Q: Find the general solution of the following differential equation. y" - 11y' + 18y = 0 NOTE: Use c₁…

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Q: Evaluate: xe² dx Ső 0e-2 0e² 1 - 0/(e-1) 22

A: Evaluate the integral

Q: Classroom activity 9.1 the monthly income earned by each of the following workers paid by the hour…

A: We have to determine the monthly income.

Q: 5. What is dummy variable? Explain the mean value theorem for integrals. Evaluate the following…

A: Concept: Integration: The calculation of an integral is referred to as integration. . Integrals are…

Q: 5. Calculate the area between the Curve fex) = 4-x² and y = 4, y = 2x_4? 20 GMS: S-U 3

A: To find the area bounded by the curves f(x)=4-x2, y=4, y=2x-4. The region bounded by the curves is:

Q: Find the domain and range of the function graphed below. Use interval notation. 5 4 3 2 1 -5 -4 -3 2…

A: To find the domain and range of the function graphed below. To use the interval notation.

Q: B)Is w = Zez analytical function or not?

A: In this question, we want to know whether the given function is analytic or not.

Q: Given that f(x) = (x - 6)² and g(x) = 1 and g(x) = 1 – 2x, find

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Q: B)Is w = Zez analytical function or not?

A: Here given that. W=z.ez  we know that z is polynomial function  and ez is exponential function both…

Q: B)Convert r = √2 cos(8-) to cartesian.

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Q: The slope of the oblique asymptote to the curve f(x) = x +11 corresponds to

A: folllow the procedure given below.

Q: Find the point on the curve y = (x − 8)² +9 at which the curvature K is a maximum.

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Q: If 5 5 f(x) dx = 4 and 2 Š² f(x) dx + O -2 O 10 O 2 0 0 4 g(x)dx? g(x)dx = 6, what is

A: Given

Q: 6. 7. 3+6s+45²-25³ s² (s² + 3) 26-5²- s(s² + 4s+13) [2+1+√√3 sin √√3t-4 cos √√3t] 2 [2-3e-2t cos 3t…

A: To find the inverse laplace of the following.6 3+6s+4s2-2s3s2s2+37 26-s2ss2+4s+13

Q: Consider a beam of length L with a fulcrum x feet from one end (see figure). There are objects with…

A: Consider a beam of length L with a fulcrum x feet from one end see figure. There are objects with…

Q: d²y dx² - dy - - 6y = 0, when x = 0, y = 0, and when x = 1, y = e³ dx

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Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 find

A: given

Q: 11.Sketch the graph of the region D and evaluate the double integral y dA, D = {(x,y)| 0≤ x ≤ ¹,0 ≤…

A: The region D is bounded by the below curves:x=0 to x=1; y=0 to y=x3.

Q: Lets a real constant such that s ≥ 0 in the process of calculating = 1,500 3.1 di you get: O a) I =…

A: s real constant such that s≥0I=∫1+∞x-3.x-sdx

Q: Find , given y = log(ev+x²). dy dx

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Q: O- - 1 2x (In x)2

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Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

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Q: The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated…

A: Given  A=7716-32-72-113214432-59   λ=-3,5,5

Q: Evaluate x³ 2x² +7 dx S x² Ox² - 2x - 72 +0 0²-2x - 1 + C X O2+2 +c+C -2+7ln x² + C -

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Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find f(x)* g(x) 2. h(x)/ f(x) 3.…

A: Given, f(x) =(2x-3) g(x) = -4x2+9 = 9-4x2 = (3)2-(2x)2 = (3-2x)(3+2x)  h(x) = 4x2-12x+9 =…

Q: (a) Assume that f(x, y, z) and F(x, y, z) are arbitrary differentiable functions such that f(x, y,…

A: Given

Q: a) 4x² +9y² + z² = 36 b) x² - y²z² = 1 c) x² +100y² - 36z² = 100 d) z = z= 2x² - 4y² e) x = z² - y²…

A: d)

Q: Evaluate x/10 Than S 11√1+ cos 10x dx. 0

A: We know that integration of cosx is sinx +C . And trigonometry relation is - Cos2x = cos2x - sin2x =…

Q: Using the Inverse Function Theorem, what is (-1) (8) given that (x) = √6x-2? Note that (11)= 8. (Do…

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Q: Find (s-¹1)' (5) using the Inverse Function Theorem, given that s(x) = −6x³ – 8x² – 9x - 2. Note…

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Q: 2. Evaluate 6x²e4x³ dx.

A: Let 4x3 = t

Q: Find the minimum and maximum values of z= 9x+4​y, if​ possible, for the following set of…

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Q: Give the domain and the range of the function whose graph is shown to the right. When arrows are…

A: Graph of the function is given, we have to find its domain and range

Q: Task Title: Pair Me! Materials: Mathematics notebook and ballpen Instructions: 1. Form 8…

A: Concept: Four basic operations are included in basic math operations: Subtraction(-) Addition(+)…

Q: Evaluate the integral. 2 - 121 y - 121 2 -dy, y> 11 dy=

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Q: Refer to functions s and t. Find the indicated function and write the domain in interval notation.…

A: Given sx=x-3x2-36 and tx=x-63-xWe need to find stx and its domain.

Q: dy -(x²+y) B)Solve differential equation = dx x+siny

A: Here we have to solve the differential equation.

Q: Question The graph of f(x) = -2x³+x-3 is shown below. Use the tools to graph the line tangent to…

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Q: In a Northwest Washington County, the speeding fines are determined by the formula: F(s) = 14(s -…

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